Topological Dynamics of Random Dynamical Systems by Nguyen Dinh Cong (English) H

Description: Topological Dynamics of Random Dynamical Systems by Nguyen Dinh Cong This book is a systematic presentation of the solution of one of the fundamental problems of the theory of random dynamical systems - the problem of topological classification and structural stability of linear hyperbolic random dynamical systems. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This book is devoted to the theory of topological dynamics of random dynamical systems. The theory of random dynamical systems is a relatively new and fast expanding field of research which attracts the attention of researchers from various fields of science. It unites and develops the classical deterministic theory of dynamical systems and probability theory, hence finding many applications in a very wide range of disciplines from physics to biology toengineering, finance, and economics. Recent developments call for a systematic presentation of the theory. Topological dynamics of random dynamical systems is the first book to deal with the theory oftopological dynamics of random dynamical systems. It presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classicaldeterministic theory. Mathematicians working in the theory of dynamical systems, stochastic dynamics, as well as those interested in applications of mathematical systems with random noise, will findthis timely book a valuable reference and rich source of modern mathematical results and methods. Author Biography Nguyen Dinh Cong is at University of Bremen. Table of Contents Introduction1: Deterministic dynamic systems2: Random dynamical systems: Foundations3: Linearization of nonlinear random dynamical systems4: Topological classification. Discrete-time case5: Structural stability. Continuous-time case7: Classification. Continuous-time case8: Topological invariants of linear cocyclesReferencesIndex Review `Topological conjugacy, classification and structural stability of linear hyperbolic random dynamical systems are investigated systematically and in detail.Zentralblatt fur Mathematik Long Description This book is devoted to the theory of topological dynamics of random dynamical systems. The theory of random dynamical systems is a relatively new and fast expanding field of research which attracts the attention of researchers from various fields of science. It unites and develops the classical deterministic theory of dynamical systems and probability theory, hence finding many applications in a very wide range of disciplines from physics to biology toengineering, finance, and economics. Recent developments call for a systematic presentation of the theory. Topological dynamics of random dynamical systems is the first book to deal with the theory oftopological dynamics of random dynamical systems. It presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classicaldeterministic theory. Mathematicians working in the theory of dynamical systems, stochastic dynamics, as well as those interested in applications of mathematical systems with random noise, will findthis timely book a valuable reference and rich source of modern mathematical results and methods. Review Text `Topological conjugacy, classification and structural stability of linear hyperbolic random dynamical systems are investigated systematically and in detail.Zentralblatt fur Mathematik Review Quote Topological conjugacy, classification and structural stability of linear hyperbolic random dynamical systems are investigated systematically and in detail.Zentralblatt fur Mathematik Feature BL Systematic presentation of a new theoryBL Latest results in the field Details ISBN0198501579 Author Nguyen Dinh Cong Short Title TOPOLOGICAL DYNAMICS OF RANDOM Series Oxford Mathematical Monographs Language English ISBN-10 0198501579 ISBN-13 9780198501572 Media Book Format Hardcover Year 1997 Place of Publication Oxford Country of Publication United Kingdom Illustrations references, bibliography, index Position Professor of Social Medicine Affiliation Professor of Social Medicine, all at Harvard Medical School DOI 10.1604/9780198501572 UK Release Date 1997-07-24 AU Release Date 1997-07-24 NZ Release Date 1997-07-24 Illustrator James Bernardin Edited by Cyprian Blamires Birth 1797 Death 1851 Qualifications MD Pages 212 Publisher Oxford University Press Publication Date 1997-07-24 DEWEY 515.352 Audience Professional & Vocational Imprint Oxford University Press We've got this At The Nile, if you're looking for it, we've got it. 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